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David SwigonAssistant ProfessorDepartment of MathematicsAlfred P. Sloan Fellow |
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My research interests are in the application of continuum mechanics, dynamical systems theory and stochastic processes in molecular biology.
DNA mechanics
I have developed micromechanical models of
DNA elasticity that combine
atomic-scale and continuum mechanics approaches with recent advances in
computational chemistry and employ information obtained by X-ray
crystallography, single-molecule manipulation, and other experimental
techniques. Part of my research program is oriented towards continuum
modeling of complex macromolecular assemblies and the application of
stochastic and deterministic dynamics in the study of molecular biological processes.
Mathematical ImmunologyI am interested in the development of mathematical models of human immune response to influenza A virus infection and the relation between immunity and inflammation. With my collaborators we have developed an ODE model for individual response, and an ensemble model capable of characterizing probabilistic outcomes of treatment scenarios.
Cell MigrationWe have developed a mathematical model of migration of enterocytes during intestinal wound healing process that is based on novel assumption of elastic deformation of the cell layer and incorporates cell mobility, adhesion and proliferation. |